Setting Up Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve problems involving relationships between quantities.

Front

How do you set up a proportion?

Back

To set up a proportion, you can use the formula \( \frac{a}{b} = \frac{c}{d} \), where a and b are quantities from one scenario, and c and d are quantities from another.

Front

If 13 things are complained about in 4 minutes, how do you find the number of complaints in 24 minutes?

Back

Set up the proportion \( \frac{13}{4} = \frac{c}{24} \) and solve for c.

Front

What is the cross-multiplication method in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio. For example, in \( \frac{a}{b} = \frac{c}{d} \), you calculate \( a \cdot d = b \cdot c \).

Front

How do you find a missing value in a proportion?

Back

You can find a missing value by cross-multiplying and then solving the resulting equation.

Front

If 14 sticks of pepperoni are needed for 28 pizzas, how do you find the amount needed for 36 pizzas?

Back

Set up the proportion \( \frac{14}{28} = \frac{x}{36} \) and solve for x.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

How can you use proportions to solve real-world problems?

Back

Proportions can be used to solve problems involving scaling, such as recipes, maps, and conversions.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the first quantity by the second quantity, expressed as \( \frac{a}{b} \) where b is not zero.

Front

If hamburger meat sells for $6 for every 3 pounds, how do you find the cost for 10 pounds?

Back

Set up the proportion \( \frac{6}{3} = \frac{x}{10} \) and solve for x.